Least Common Multiple of 39021 and 39022

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 39021 and 39022 by Prime method
• Least Common Multiple of 39021 and 39022 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39021 and 39022. First we will calculate the prime factors of 39021 and 39022.

Prime Factorization of 39021

Prime factors of 39021 are 3,13007. Prime factorization of 39021 in exponential form is:

39021 = 3¹×13007¹

Prime Factorization of 39022

Prime factors of 39022 are 2, 109,179. Prime factorization of 39022 in exponential form is:

39022 = 2¹×109¹×179¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39021 and 39022.

LCM(39021,39022) = 2¹×3¹×109¹×179¹×13007¹
LCM(39021,39022) = 1522677462

Factors of 39021

List of positive integer factors of 39021 that divides 39021 without a remainder.

1, 3, 13007, 39021

Factors of 39022

List of positive integer factors of 39022 that divides 39022 without a remainder.

1, 2, 109, 179, 218, 358, 19511, 39022

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39021 and 39022, than apply into the LCM equation.

GCF(39021,39022) = 1
LCM(39021,39022) = ( 39021 × 39022) / 1
LCM(39021,39022) = 1522677462 / 1
LCM(39021,39022) = 1522677462

(i) The LCM of 39022 and 39021 is associative

LCM of 39021 and 39022 = LCM of 39022 and 39021

1. What is the LCM of 39021 and 39022?

Answer: LCM of 39021 and 39022 is 1522677462.

2. What are the Factors of 39021?

Answer: Factors of 39021 are 1, 3, 13007, 39021. There are 4 integers that are factors of 39021. The greatest factor of 39021 is 39021.

3. What are the Factors of 39022?

Answer: Factors of 39022 are 1, 2, 109, 179, 218, 358, 19511, 39022. There are 8 integers that are factors of 39022. The greatest factor of 39022 is 39022.

4. How to Find the LCM of 39021 and 39022?

Answer:

Least Common Multiple of 39021 and 39022 = 1522677462

Step 1: Find the prime factorization of 39021

39021 = 3 x 13007

Step 2: Find the prime factorization of 39022

39022 = 2 x 109 x 179

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1522677462 = 2 x 3 x 109 x 179 x 13007

Step 4: Therefore, the least common multiple of 39021 and 39022 is 1522677462.